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Finding the Fourth Proportional to 23,189.92, 31,991.89 and 15,633.49

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Solution

The fourth proportional to 23,189.92, 31,991.89 and 15,633.49 is: 21,567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,189.92 : 31,991.89 = 15,633.49 : x
  2. Step 2: Convert to fraction form
    23,189.92/31,991.89 = 15,633.49/x
  3. Step 3: Cross multiply
    23,189.92x = 31,991.89 × 15,633.49
  4. Step 4: Simplify right side
    23,189.92x = 500,144,892.40
  5. Step 5: Solve for x
    x = 500,144,892.40/23,189.92
  6. Step 6: Final answer
    x = 21,567.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.